Heegaard Floer Invariants and Tight Contact Three--Manifolds

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dc.creatorLisca, P.
dc.creatorStipsicz, A. I.
dc.date2003-03-23
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:56:17Z
dc.date.available2026-07-07T04:56:17Z
dc.descriptionLet Y(r) be the closed, oriented three-manifold obtained by performing rational r-surgery on the right-handed trefoil knot in the three-sphere. Using contact surgery and the Heegaard Floer contact invariants we construct positive, tight contact structures on Y(r) for every r not equal to 1. This implies, in particular, that the oriented boundaries of the positive E6 and E7 plumbings carry positive, tight contact structures, solving a well-known open problem.
dc.description7 pages, 4 figures; improved exposition, corrected typos
dc.identifierhttps://arxiv.org/abs/math/0303280
dc.identifierhttp://arxiv.org/abs/math/0303280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66866
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57R57; 57R17
dc.titleHeegaard Floer Invariants and Tight Contact Three--Manifolds
dc.typetext

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